The solution of a system of equations is (3,0).
What is a system of linear equations?A system of linear equations is a collection of one or more linear equations involving the same variables in mathematics. The system of linear equations appears to have a solution of (3, 0).
A linear equation is one in which the variable's maximum power is always 1. The degree of the linear equation is always equal to one.
If a system of linear equations has two equations and a graph of these two equations intersect each other at (a,b), then the point (a,b) is the solution of that system of equations.
Since, the solution of a system of equations is (3,0), therefore on a coordinate plane, 2 lines intersect at (3, 0).
Therefore, the solution of a system of equations is (3,0).
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Final answer:
The system of linear equations with a solution of (3, 0) is the one where two lines intersect at the point (3, 0) on a coordinate plane.
Explanation:
The student is asking which system of linear equations appears to have a solution of (3, 0). In the context of a coordinate plane, the solution to a system of linear equations is the point where the equations' graphs intersect. The given options describe where two lines intersect on different coordinate planes. Only the option stating 'On a coordinate plane, 2 lines intersect at (3, 0)' would represent a system where the solution is (3, 0). Therefore, the correct answer is the one where two lines intersect at the point (3, 0) on a coordinate plane.
Nelda is making punch for her school party. Her recipe calls for 1/8 cup of apple juice for each serving punch. How many serving of punch can nelda make if she has 7 cups of apple juice
Answer:
7/8
Step-by-step explanation:
To be honest, I might be wrong I this but I will try to help you...
Since Nelda is trying to have 7 servings, or cups, of punch, she would need 1/8 cup of apple juice for each. This means you could do 7 * 1/8, which gives you 0.875 OR 7/8. Hope this helps!
Calculate the value of m
Write the word sentence as an inequality.
a number y added to 5.2 is less than 23
The inequality is: ______?
Answer:
[tex]y+5.2<23[/tex]
Step-by-step explanation:
Add y and 5.2 and use the less than symbol < to show that 23 is greater than the sum of y and 5.2.
If you have trouble remembering the directions of < > and what they mean, my teacher taught me that the alligator wants more food. The "mouth" opens towards the biggest value.
5) Bianca bought a baseplate of 12 inches length and 10 inches width. Find the area on
the baseplate,
Answer:
The area of the base plate is 120 in
Step-by-step explanation:
Billy has a collection of baseball cards that he has separated into two different value categories. His common cards
are worth $0.50 each, while his premium cards are worth $1.00 each. Together, Billy's entire baseball card collection
of 124 cards is worth $81.50.
Which of the following systems of equations models Billy's baseball card collection?
Answer:
sdfghj
Step-by-step explanation:
idekkk
The width of a box is 12 cm. The length of the box is two times the width. The height is 10 cm longer than the length. What is the volume of the box? (V = lwh)
A) 3,528 cm3
B) 9,792 cm3
C) 120 cm3
D) 240 cm3
Answer:
V = 9,792 cm
Step-by-step explanation:
hope that i helped!
Answer:
B) 9792
24*12*34
Seth solved a quadratic equation. His work is shown below, with Step 3 missing.
What could Seth have written as the result from Step 3?
+ (x 1)2 + 5 = 23
5(x - 1)2 = 18
Step 1
(x - 1)2 = 36
Step 2
Step 3
x = -5 or = 7
Step 4
Answer:
|x - 1| = 6
Step-by-step explanation:
After step 2, we have that:
(x - 1)^2 = 36
and after step 4, we have the results:
x = -5 or x = 7
After step 2, what we can do in step 3 is: use square root in both sides of the equation:
|x - 1| = 6
This equation can be split in two:
x - 1 = 6 -> x = 7
x - 1 = -6 -> x = -5
So Seth could write this equation in step 3:
|x - 1| = 6
The value of x from the given expression are 5 and 7
Solving expression for the variableGiven the expression
5(x - 1)^2 = 18
Step 2 as shown is given as:
(x - 1)^2 = 36
Take the square root of both sides
√(x - 1)^2 = √36
x - 1 = 6
The solutions are x - 1 = 6 and x + 1 = 6
x = 6 + 1 = 7
x = 6 - 1
x = 5
Hence the value of x from the given expression are 5 and 7
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I’m really lost...........
6^5 x 5^-7
Answer:
0.0995328 OR 7776 /78125
It's okay to be a little lost. When I have exponents and all this "fun" stuff, I use Desmos graphing calculator. It will help you GREATLY. Let me know if you wan the link...
Jeff is going to cut this shape out of a piece of paper. He will fold the paper on the dotted lines and connect all the edges. What solid will Jeff have when he is done?
A) square prism
B) square pyramid
C) triangular prism
Eliminate
D) triangular pyramid
If you deposit $300 in an account with a 6% interest rate, how much will be in your account after 1 year?
The simple interest will be 18$
Shanti wrote the predicted values for a data set using the line of best fit y = 2.55x – 3.15. She computed two of the residual values.
What are the values of a and b?
a = 0.4 and b = –0.15
a = –0.4 and b = 0.15
a = 8.6 and b = 14.25
a = –8.6 and b = –14.25
[tex]a=4.1-4.5=-0.4\\b=7.2-7.05=0.15[/tex]
The values of a and b are,
⇒ a = -0.4 and b = 0.15
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Now, Residual value is the difference between the observed value of the dependent variable (y) and the predicted value (ŷ) in a data set.
i.e. Residual value = given value - predicted value
From the table, the residual value corresponding to a has 4.1 as the given value and 4.5 as the predicted value.
Therefore, We get;
a = 4.1 - 4.5
a = -0.4
Similarly, the residual value corresponding to b has 7.2 as the given value and 7.05 as the predicted value.
Therefore, We get;
b = 7.2 - 7.05
b = 0.15
Therefore, a = -0.4 and b = 0.15
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Which number line shows the correct placement of 20%, 1/3, and 2/3?
Answer with Step-by-step explanation:
We are given that
20%
When we change percent into fraction we will divide the percent by 100
[tex]\frac{20}{100}=\frac{1}{5}[/tex]
[tex]\frac{1}{3}[/tex]
[tex]\frac{2}{3}[/tex]
We have to find the line which shows the correct placement of given numbers.
Lcm(3,5)=15
[tex]\frac{1\times 3}{5\times 3}=\frac{3}{15}[/tex]
[tex]\frac{1\times 5}{3\times 5}=\frac{5}{15}[/tex]
[tex]\frac{2\times 5}{3\times 5}=\frac{10}{15}[/tex]
If x = 48 cm and y = 55 cm, what is the length of w?
A. 77 cm
B. 37 cm
c. 103 cm
D. 73 cm
The length of 'w' is approximately 73 cm.
Explanation:To find the length of 'w,' we can use the Pythagorean Theorem since 'w' is the hypotenuse of a right triangle with legs 'x' and 'y.' The Pythagorean Theorem states that the square of the hypotenuse is equal to the sum of the squares of the legs. So, we have:
w^2 = x^2 + y^2
Substituting the given values, we get:
w^2 = 48^2 + 55^2
w^2 = 2304 + 3025
w^2 = 5329
Taking the square root of both sides, we find:
w = √5329
w ≈ 73 cm
Final answer:
After performing the calculations, the hypotenuse w is found to be 73 cm, which corresponds to option D.
Explanation:
To find the length of w, which is the hypotenuse of the right-angled triangle with sides x = 48 cm and y = 55 cm, we use the Pythagorean theorem.
This theorem states that in a right triangle, the square of the length of the hypotenuse (w) is equal to the sum of the squares of the lengths of the other two sides (x and y).
According to the theorem:
w² = x² + y²
Plugging in the given values:
w² = 482 + 552
w² = 2304 + 3025
w² = 5329
To find w, we take the square root of both sides:
w = √5329
w = 73 cm
Therefore, the length of w is 73 cm, which corresponds to option D.
What is the sum or difference?
2y^5-4y^5
Which formula should be used to find the length of EF
Answer:
The answer is D, the distance formula.
Step-by-step explanation:
The distance formula on answer choice D is how you find the distance between two points.
This is to the last question I put: Which graph represents the function?
(Function shown in the first image)
Answer:
.
Step-by-step explanation:
Pls solve!!!! ill give brainlyist
Damari needs to paint the circular concrete mural at the park. The mural has a diameter of 45 feet. A gallon of paint covers approximately 300 square feet. Each gallon is $18.99. How much will Damari spend in order to paint the mural? Use 3.14 to approximate π .
Answer:
$100.647
Step-by-step explanation:
Diameter = 45ft
Radius = diameter / 2 = 45 / 2 = 22.5ft.
1 gallon of paint covers 300ft²
1 gallon cost $18.99
The total area of the mural = πr² (since it's circular and area of a circle = πr²)
Area = πr²
Area = 3.14 * (22.5)²
Area = 1589.625ft²
The total area of the mural = 1589.625ft²
1 gallon of paint covers 300ft²
X gallons of paint will cover 1589.625ft²
Making x the subject by cross multiplying
X = (1 * 1589.625) / 300
X = 5.29875 gallons.
5.3 gallons will be required to paint 1589.625ft²
But 1 gallon costs = $18.99
5.3 gallons will cost $ y
y = (5.3 * 18.99) / 1
y = $100.647
Damari will spend $100.647 to paint the mural.
jennifer walks 8 miles in the same time she can jog 13 miles. if her jogging speed is 8mph faster than her walking speed, how fast does she walk?
Answer:
12.8mph
Step-by-step explanation:
Let 'w' represent her walking speed
->if her jogging speed is 8mph faster than her walking speed
Jogging speed= w+8
Using the time equation i.e time = dist/speed
For walking when distance is 8miles
time = dist / speed= 8/w hrs
For jogging when distance is 13miles
time = dist / speed= 13/(w+8) hrs
Equating the time
jog time = walk time
13/(w+8) = 8/w
By cross multiplying it
13w = 8w + 64
5w = 64
w=64/5
w=12.8mph
Therefore, 12.8mph is her walking speed.
We divide the number line into ___ so we know how far to move left or right when doing equations.
Answer:
units
Step-by-step explanation:
I had this question on flocabulary.
We divide the number line into intervals to understand how far we need to move left or right when solving equations. This division into intervals creates a physical representation that helps visualize calculations and absolute differences between numbers.
Explanation:We divide the number line into intervals so we know how far to move left or right when doing equations. For understanding, let's consider an example. If we're working with whole numbers and the number line is divided into single-unit intervals, moving to the right from 0 to 5 means we've added 5 to our original number. Similarly, moving to the left of 0 to -5 means we've subtracted 5 from our original number.
The division of the number line helps to visualize the calculation process and see physical representation of absolute differences between numbers. For example, if we make the distance between each interval equal to one unit, the distance between 1 and 3 on the number line is 2 units, which corresponds to the absolute difference between these numbers.
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Look at the two equations:
-3x + 6 = 21
-3x + 6 <21
Which statement best describes the process used to solve the equations?
Answer:
From the given equations -3x + 6 = 21 and -3x + 6 <21 we have that the process is exactly the same for solving the equation and solving the inequalityStep-by-step explanation:
Given that the two equations -3x + 6 = 21 and -3x + 6 <21
To find the statement best describes the process used to solve the equations :From the given equations -3x + 6 = 21 and -3x + 6 <21 we have that
-3x+6-6=21-6
-3x=15
[tex]x=-\frac{15}{3}[/tex]
∴ x=-5-3x + 6 <21
-3x+6-6<21-6
-3x<15
[tex]x< -\frac{15}{3}[/tex]
∴ x< -5 From the given equations -3x + 6 = 21 and -3x + 6 <21 we have that the process is exactly the same for solving the equation and solving the inequality.The first equation is a statement of equality, while the second is an inequality. The process is solving equations and inequalities.
The process used to solve the equations involves identifying whether the given expressions are equations or inequalities and then applying appropriate techniques to find the solution.
For the equation [tex]\( -3x + 6 = 21 \)[/tex], the goal is to find the value of [tex]\( x \)[/tex] that makes the equation true. We start by isolating [tex]\( x \)[/tex] on one side of the equation. By subtracting 6 from both sides and then dividing by -3, we find [tex]\( x = -5 \)[/tex]. This is the solution to the equation.
On the other hand, for the inequality [tex]\( -3x + 6 < 21 \)[/tex], the goal is to find the values of [tex]\( x \)[/tex] that satisfy the inequality. We follow similar steps as with the equation but with one crucial difference: when dividing by a negative number, the direction of the inequality sign must be reversed. After isolating [tex]\( x \)[/tex], we find [tex]\( x > -5 \)[/tex]. This represents all values of [tex]\( x \)[/tex] that make the inequality true.
In summary, the process involves understanding whether we are dealing with equations or inequalities, isolating the variable, and solving for its value. For inequalities, attention must be paid to reversing the inequality sign when dividing by a negative number.
The diameter of a cake is 12 centimeters and the area of one slice is 4π cm2. in terms of π how many full slices can you cut out of the cake
Step-by-step explanation:
Gievn, the diameter of a cake is 12 cm
Radius of the cake = 6 cm
area of one slice = 4π [tex]cm^{2}[/tex]
in terms of π how many full slices can you cut out of the cake = ?
Area of the cake = area of the circle = π[tex]r^{2}[/tex] = π[tex](6)^{2}[/tex] = 36 π
Area of n slices = area of the cake
(4π ) n = 36 π
n = 9
In terms of π 9 full slices can be cut out of the cake.
Answer:
9 full slices can be cut out of the cake.
Step-by-step explanation:
What is the degree of a constant term?
Answer:
I think it's answer is 0. in case of constant polynomials
A cube has a mass of 17 g. Each side of the cube measures 1.8 cm. What is the cube's
density?
Answer:
your answer would be 8.1 g/ cm3
Step-by-step explanation:
hope this helps you.
please help me ASAP !!
Answer:
Step-by-step explanation:
<1+<2=90 complementary
<1=4 times <2
X+4x=90
5x=90
X=18
<1=18×4=72 degrees
<2=18 degrees
<1=<3 because they are vertical
Do <3= 72
<3+<4=180 because they are supplementary
72+<4=180
<4=108 degrees
<3=72 degrees
Ever since Renata moved to her new home, she's been keeping track of the height of the tree outside her window.
H represents the height of the tree (in centimeters),
t years since Renata moved in.
H=210+33t
How fast does the tree grow?
Answer:
33 cm per year
Step-by-step explanation:
I've already answed this question in the post:
https://brainly.com/question/15882266#readmore
Consider the given function:
[tex]h(t)=210+33t[/tex]
From the linear function, 210 is the height of the tree from when Renata moved to her new home, and 33 states that the tree grows 33 cm per year.
So "How fast does the tree grow?"
The tree grows 33 cm per year.
if a tangent ratio is 4/20, what is the measure of the tangent? A) 0.2
B) 3.8
C)8.2
D) 5.2
Answer:
A
Step-by-step explanation:
The tangent of 4/20 is 0.20271 and u round to the 4th digit
Gertrude is deciding which cell phone plan is the best deal for her to buy. Super Cell charges a monthly
fee of $10 and also charges $0.15 per call. She makes a note that the equation is M = $0.15C + $10.
where M is the monthly charge, in dollars, and C is the number of calls placed. Global Cellular has a plan
with no monthly fee but charges $0.25 per call. She makes a note that the equation is M = $0.25C, where
M is the monthly charge, in dollars, and C is the number of calls placed. Both companies offer unlimited
text messages.
Type your answer to c - which cell phone plan is a better buy for Gertrude? Be specific.
Answer:
It is dependent on the number of calls she plans to make per month
Step-by-step explanation:
Please refer to the attached image for explanations
dan made $242 for 11 hours of work. At the same rate , how many hours would he have to work to make $ 154
Answer: 7 hours to make $154.
Step-by-step explanation: First we want to know how much Dan makes in 1 hour of work. To do this simply divide 242 by 11. 242/11 = 22, or $22 per hour of work.
T find how many hours he would have to work to make $154, simply divide 154 by 22. 154/22 = 7, or 7 hours of work.
So, Dan will have to work 7 hours to make $154.
Final answer:
Dan earns $22 per hour, so to make $154, he would need to work for 7 hours at that same rate.
Explanation:
Dan made $242 for 11 hours of work. To calculate the rate of pay per hour, we would divide $242 by 11 hours, which gives us a rate of $22 per hour. The question asks how many hours Dan would need to work to make $154 at the same rate. To find this, we divide $154 by the hourly rate of $22.
$154 ÷ $22 per hour = 7 hours
Therefore, Dan would have to work for 7 hours to make $154 at the same rate of pay.
The unit cost per pound for green beans is represented by the
equation y = 1.2x. Which of these points is NOT on the graph of this
proportional relationship?
A( 0,0)
8 (2.24)
C (4.48)
D (12.10)
Al chose A as the correct answer. How did he get that answer?
The point which is not on the graph is (12, 10)
Using the equation given :
y = 1.2xComparing each point:
(0, 0)y = 1.2(0)
y = 0 (correct)
b.)
(2,2.4)y = 1.2(2)
y = 2.4 (correct)
c.)
(4, 4.8)y = 1.2(4)
y = 4.8 (correct)
d.)
(12, 10)y = 1.2(10)
y = 12 (Incorrect)
The point which is not on the graph is (12, 10)